86567133400825 has 48 divisors (see below), whose sum is σ = 133838649778176. Its totient is φ = 53960657140800.

The previous prime is 86567133400729. The next prime is 86567133400829. The reversal of 86567133400825 is 52800433176568.

It is a happy number.

It is not a de Polignac number, because 86567133400825 - 2¹³ = 86567133392633 is a prime.

It is a super-2 number, since 2×86567133400825² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86567133400825.

It is not an unprimeable number, because it can be changed into a prime (86567133400829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30606504 + ... + 33315046.

It is an arithmetic number, because the mean of its divisors is an integer number (2788305203712).

Almost surely, 2^{86567133400825} is an apocalyptic number.

It is an amenable number.

86567133400825 is a deficient number, since it is larger than the sum of its proper divisors (47271516377351).

86567133400825 is a wasteful number, since it uses less digits than its factorization.

86567133400825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725174 (or 2725169 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 86567133400825 in words is "eighty-six trillion, five hundred sixty-seven billion, one hundred thirty-three million, four hundred thousand, eight hundred twenty-five".